GATE Practice Question and Answer

Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1497 0

  • 1
    16 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 2. "13 days"
Explanation :

Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13   Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10   P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.

Q: When 5% is lost in grinding Maize, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of Maize, which grows in the country ? 1497 0

  • 1
    188 million
    Correct
    Wrong
  • 2
    166 2/3 million
    Correct
    Wrong
  • 3
    192 3/4 million
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "166 2/3 million"
Explanation :

Answer: B) 166 2/3 million Explanation: 5% - 2% = 3%=> 3% ------ 5 million bags 100% ---- ? => 166 2/3 million bags.

Q: Question : What is the sum which earned interest ? Statements : a. The total simple interest was Rs. 9000 after 9 years.b. The total of sum and simple interest was double of the sum after 6 years. 1497 0

  • 1
    Only a is sufficient
    Correct
    Wrong
  • 2
    Neither a nor b is sufficient
    Correct
    Wrong
  • 3
    Only b is sufficient
    Correct
    Wrong
  • 4
    Both a and b sufficient
    Correct
    Wrong
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Answer : 4. "Both a and b sufficient"
Explanation :

Answer: D) Both a and b sufficient Explanation: Let the sum be Rs. x a. gives, S.I = Rs. 9000 and time = 9 years. b. gives, Sum + S.I for 6 years = 2 x Sum --> Sum = S.I for 6 years. Now, S.I for 9 years = Rs. 9000 S.I for 1 year = Rs. 9000/9 = Rs. 1000. S.I for 6 years = Rs. (1000 x 6)= Rs. 6000. --> x = Rs. 6000 Thus, both a and b are necessary to answer the question.

Q: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1496 0

  • 1
    80%
    Correct
    Wrong
  • 2
    70%
    Correct
    Wrong
  • 3
    75%
    Correct
    Wrong
  • 4
    62%
    Correct
    Wrong
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Answer : 1. "80%"
Explanation :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

Q: Lasya invested certain amount for two rates of simple interests at 5% p.a. and 4% p.a. What is the ratio of Lasya's investments if the interests from those investments are equal ? 1496 0

  • 1
    4 : 5
    Correct
    Wrong
  • 2
    5 : 4
    Correct
    Wrong
  • 3
    7 : 6
    Correct
    Wrong
  • 4
    6 : 7
    Correct
    Wrong
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Answer : 1. "4 : 5"
Explanation :

Answer: A) 4 : 5 Explanation: Let x be the investment of Lasya in 5% and y be in 4% x(5)(n)/100 = y(4)(n)/100 => x/y = 4/5 x : y = 4 : 5

Q: Arun’s weight is 140% of Akhil’s weight. Nani’s weight is 90% of Shreyon’s weight. Shreyon’s weight is twice as much as Akhil’s. What percentage of Arun’s weight is Nani’s weight? 1496 0

  • 1
    76%
    Correct
    Wrong
  • 2
    77%
    Correct
    Wrong
  • 3
    78%
    Correct
    Wrong
  • 4
    79%
    Correct
    Wrong
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Answer : 3. "78%"
Explanation :

Answer: C) 78% Explanation: Let Akhil's weight = p kg => Shreyon's weight = 2p kg Nani's weight = 0.9 x 2p = 1.8p kg => Arun's weight = 1.4p kg Required percentage = 1.4p1.8p x 100 = 77.8% ~= 78%

Q: What is the next letter in the given seriesM N J Q G ? 1495 0

  • 1
    U
    Correct
    Wrong
  • 2
    S
    Correct
    Wrong
  • 3
    T
    Correct
    Wrong
  • 4
    H
    Correct
    Wrong
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Answer : 3. "T"
Explanation :

Answer: C) T Explanation: 1ST SERIES = M J G... It decreasing by 3 alphabets.2ND SERIES = N Q... It increasing by 3 alphabets. M N J Q G T...

Q: A town has a population of 4000 requires 140 liters of water per head. It has a tank measuring 18m x 12m x 8m. The water of this tank will suffice for ____ days? 1494 0

  • 1
    3
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 1. "3"
Explanation :

Answer: A) 3 Explanation: Water required = 4000 x 140 = 560000 lit = 560 cu.m (1 cu.m = 1000 lit) Volume of tank = 18 x 12 x 8 = 1728 cu.m Water of this tank will suffice for = 1728/560 = 3 days.

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